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Find the length of each bolded arc to the nearest hundredth. 142° Arc Length= 4 cm ​

Find the length of each bolded arc to the nearest hundredth. 142° Arc Length= 4 cm-example-1
User Cogicero
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2 Answers

6 votes

To find the length of the arc, we need to use the formula:

Length of arc = (central angle/360) x (2πr)

where r is the radius of the circle.

In this case, the central angle is 142°, the radius is 4 cm, and we want to find the length of the bolded arc.

Length of arc = (142/360) x (2π x 4) Length of arc = (0.3944) x (8π) Length of arc ≈ 9.87

Rounding to two decimal places, the length of the bolded arc is approximately 9.87 cm.

User ThinkOfaNumber
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8.4k points
2 votes

Answer:

15.21 cm

Explanation:

angle of bolded arc = 360° - 142° = 218°

length of bolded arc = ( 218 ÷ 360 ) × π d

= ( 218 ÷ 360 ) × 3.14 × 8

= 15.21 cm

User NeliCZka
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8.2k points